Bøger udgivet af Mathematical Association of America

Combining the features of a textbook with those of a problem workbook, this text presents a natural, friendly way to learn some of the essential ideas of graph theory, with 360 strategically placed exercises and 280 additional homework problems to encourage reader involvement and engagement.

An introduction to Euclidean and hyperbolic geometry in the plane, this book is designed for an undergraduate course in geometry, but will also be a stimulating read for anyone comfortable with the language of mathematical proof. The text is extensively illustrated and brings together topics not typically found together.

Using the Daniell-Riesz approach, this text presents the Lebesgue integral to an audience familiar only with limits, derivatives and series. Employing such minimal prerequisites allows for increased curricular flexibility for course instructors, and provides undergraduates with a gateway to the modern mathematics of functions at an early stage.

Targeting talented students who seek a deeper understanding of calculus and its applications, this book contains enrichment material for undergraduate courses in calculus, differential equations, and modelling. The friendly presentation maintains rigour whilst avoiding epsilons and deltas. Topics are chosen for intrinsic interest, historical influence, and continuing importance.

By using everyday language and popular characters, this unorthodox textbook explains arithmetic in an accessible way to benefit budding teachers.

Designed to aid teachers and students, Nelsen guides his readers through fifty short visual enhancements to the first-year calculus course.

What do mathematicians think of themselves, and what do others think of them? A large and diverse group of mathematicians and mathematical people were assembled to offer their views on these matters. These contributions represent a vast array of perspectives on the psychology of the mathematician.

This book is written as both a stepping stone to higher calculus and analysis courses, and as a foundation for deeper reasoning in applied mathematics. As well as a rigorous account of sequences, series, functions and sets, the reader will also find fascinating historical material and over 600 exercises.

C. Edward Sandifer, one of the world's leading Euler scholars, presents another collection of his 'How Euler Did It' columns. Each is a jewel of historical and mathematical exposition that will leave the reader marveling at Euler's inventiveness.

Designed for undergraduate students and lecturers, this text guides its users to develop the skills, and habits of a mathematician. Using exercises and theorems on the subject of graphs, groups, and calculus, its users will discover mathematical ideas, and understand the process of mathematical creativity and development.

Designed for prospective and practising mathematics teachers, this book makes explicit connections between the ideas of abstract algebra and the mathematics taught at high-school level. Algebraic concepts are presented in historical order, with focus on number theory, polynomials, and commutative rings and groups.

This book presents techniques for proving a variety of mathematical results in three-dimensional Euclidean space, the field traditionally known as solid geometry. The text is aimed at secondary school and college and university teachers as an introduction to solid geometry, or in a mathematics course for liberal arts students.

A treatment of polynomial equations that is designed for self-study and will enrich algebra courses at the high-school level and above. The author goes beyond the familiar quadratic formula to cover cubic and quartic equations, complete with lively historical notes and an informal discussion of Galois theory.

Misfortune struck five-year-old Larry Baggett when he was blinded following an accident. This memoir describes his life as a blind person living and learning in the sighted world, an internationally renowned research mathematician and a successful university professor.

A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus.

A collection of problems from the William Lowell Putnam Competition which places them in the context of important mathematical themes.

A colourful introduction to classical analysis, complete with problems from past mathematics competitions, for undergraduate mathematics students.

Classic text on graph theory, brought up to date by Robin Wilson, himself a best-selling maths author.

Teaching resources for use with courses on fractal geometry, lecturers and interested readers.

Undergraduate level problems with solutions and commentary on links with contemporary research.

An accessible compendium of essays on the broad theme of mathematics and sports.

Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.

This book treats the maturation process for a mathematics student with description and analysis of how a student can develop into a sophisticated thinker who can understand abstract concepts and proofs with intellectual rigour. This book is an ideal skills development tool for graduate students and teachers of mathematics.

The coming of age of the mathematician Sophie Germain is brought to life through a fictionalised journal that intertwines the history of mathematics with accounts of the brutal events of the French Revolution. The intellectual struggles of this exceptional young woman will inspire a variety of readers, both mathematicians and novices.

An exploration of number systems that extend and generalise the real numbers, of interest to students, mathematics teachers and enthusiasts.

An entertaining collection of 208 accessible yet challenging mathematical puzzles, designed to appeal to problem solvers at many different levels.

A thorough development of a topic at the core of mathematics, ideal for graduate students and professional mathematicians.

A comprehensive treatment of the geometry of circular transformations.

Mathematical ideas have an aesthetic appeal that can be appreciated by anyone who has the time and dedication to investigate. In this book readers will discover exciting mathematics topics from complex numbers to arithmetic progressions, from Alcuin's sequence to the zeta function, and from hypercubes to infinity squared.

This book tells the story of how calculus came to be. It is accessible to anyone with a basic knowledge of geometry and algebra: pre-existing knowledge of calculus is not required. Exercises are included, which makes it ideal for use in the classroom.